Titlebook: Elements of Classical and Quantum Integrable Systems; Gleb Arutyunov Textbook 2019 Springer Nature Switzerland AG 2019 Liouville theory.We

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https://doi.org/10.1007/978-3-662-02480-5er on classical mechanics, we present a modern formulation of the Liouville theorem due to Arnold, discuss the symmetry origin of conservation laws and give a number of representative examples of integrable models. Also, we introduce the main tools for exhibiting and studying classical integrability such as the Lax pair and classical .-matrix.

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Quantum-Mechanical Integrable Systems,the discrete spectrum, we present the common eigenfunctions of commuting quantum integrals in terms of special families of orthogonal polynomials, thereby showing that for these quantum-mechanical models the spectral problem is fully solved.

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Elements of Classical and Quantum Integrable Systems

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Textbook 2019rete examples of the Calogero-Moser-Sutherland andRuijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible..

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Liouville Integrability,eans of a well-established mathematical procedure. As such, this theorem naturally provides a definition of an integrable system. After a brief reminder on classical mechanics, we present a modern formulation of the Liouville theorem due to Arnold, discuss the symmetry origin of conservation laws an

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